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1023310201320 = 2332511397650911
BaseRepresentation
bin11101110010000100000…
…10101000000111101000
310121211100020200100021200
432321002002220013220
5113231214402420240
62102034025004200
7133634403123441
oct16710202500750
93554306610250
101023310201320
11364a8aa27190
121463a8623660
13756616b7b84
14377582022c8
151b942dec930
hexee420a81e8

1023310201320 has 192 divisors, whose sum is σ = 3637244183040. Its totient is φ = 247449945600.

The previous prime is 1023310201289. The next prime is 1023310201339. The reversal of 1023310201320 is 231020133201.

1023310201320 is a `hidden beast` number, since 10 + 2 + 3 + 310 + 20 + 1 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1023310201293 and 1023310201302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1246665 + ... + 1897575.

It is an arithmetic number, because the mean of its divisors is an integer number (18943980120).

Almost surely, 21023310201320 is an apocalyptic number.

1023310201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023310201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818622091520).

1023310201320 is an abundant number, since it is smaller than the sum of its proper divisors (2613933981720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1023310201320 is a wasteful number, since it uses less digits than its factorization.

1023310201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651336 (or 651329 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1023310201320 its reverse (231020133201), we get a palindrome (1254330334521).

The spelling of 1023310201320 in words is "one trillion, twenty-three billion, three hundred ten million, two hundred one thousand, three hundred twenty".